When you say you're rolling, are you rolling at 2 mph, or 30? When you say "high RPM," what do you mean? When you stomp on it at first, and you say you're rolling, does that mean your clutch is engaged, you're rolling at a low speed, and your RPM's are around 1000? Need more info.

If I'm rolling along at a very low speed (~5mph) and my RPM's are around 1000, and I'm in 2nd gear when I decide to stomp on it, my car stutters too. That's too low an RPM and speed range for your car to expect to be able to do anything in any gear other than 1st, so there's just no power to accelerate; i.e. the car stutters. This is normal.

You also say you replaced the TPS. Does that mean you replaced the whole throttle body? TPS's can't be replaced without changing the whole thing.